2 citations · 3 across the 8 of their papers we have counts for
9 papers
$\Hom$-Lie structures on Lie algebras
Jobir Adashev, Majidkhon Azizov, Vasily Voronin
We give a systematic description of $\Hom$-Lie structures on several classes of Lie algebras and of their relations with transposed Poisson structures. Our starting point is the ob…
-matching and interchangeable structures on truncated polynomial algebras
Kobiljon Abdurasulov, Jobir Adashev, Feruza Toshtemirova
We describe -matching, interchangeable and, as a consequence, totally compatible products on truncated polynomial algebras.
-Leibniz algebras and related -type algebras
Jobir Adashev, Ivan Kaygorodov
This paper introduces and investigates the structure of -Leibniz algebras, which serve as a parametric generalization of classical Leibniz algebras defined by a scalar . The…
(Transposed) Poisson algebra structures on null-filiform associative algebras
Jobir Adashev, Xursanoy Berdalova, Feruza Toshtemirova
In this paper we investigate classifications of all (transposed) Poisson algebras of the associated associative null-filiform algebra
Classification of four-dimensional anti-dendriform algebras whose associated associative algebra has the center of dimension one
Jobir Adashev, Artem Lopatin, Zafar Normatov +1
This article is devoted to the classification of anti-dendriform algebras that are associated with associativity. They are characterized as algebras with two operations whose sum i…
Classification of three-dimensional anti-dendriform algebras
K. Abdurasulov, J. Adashev, Z. Normatov +1
This article is devoted to the classification of anti-dendriform algebras that are associated with associativity. They are characterized as algebras with two operations whose sum i…
Transposed Poisson structures on solvable Lie algebras with filiform nilradical
Kobiljon Abdurasulov, Jobir Adashev, Sabohat Eshmeteva
In this article, we described 1/2-derivations of solvable Lie algebras with a thread-like nilradical. Nontrivial transposed Poisson algebras with solvable Lie algebras are construc…
Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
J. K. Adashev, L. M. Camacho, B. A. Omirov
In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz algebra with maximal index of nilpotency are classified.…
The classification of naturally graded Zinbiel algebras with characteristic sequence equal to
J. K. Adashev, M. Ladra, B. A. Omirov
This work is a continuation of the description of some classes of nilpotent Zinbiel algebras. We focus on the study of Zinbiel algebras with restrictions to gradation and character…